Article: Wei, HC; Ferrari, S; (2015) “A Geometric Transversals Approach to Sensor Motion Planning for Tracking Maneuvering Targets”, Science of The Total Environment, 60 (10): 2773-2778
Abstract: This paper presents a geometric transversals approach for representing the probability of track detection as an analytic function of time and target motion parameters. By this approach, the optimization of the detection probability subject to sensor kinodynamic constraints can be formulated as an optimal control problem. Using the proposed detection probability function, the necessary conditions for optimality can be derived using calculus of variations, and solved numerically using a variational iteration method (VIM). The simulation results show that sensor state and control trajectories obtained by this approach bring about a significant increase in detection probability compared to existing strategies, and require a computation that is significantly reduced compared to direct methods.
Funding Acknowledgement: Office of Naval Research [321]; National Science Foundation [NSF DGE 1068871]
Funding Text: This work was supported in part by the Office of Naval Research under Code 321, and in part by the National Science Foundation under Grant No. NSF DGE 1068871. Recommended by Associate Editor J. H. Braslavsky.